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Examples for

Statistics

Statistics is the branch of mathematics involved in the collection, analysis and exposition of data. Given a set of data, Wolfram|Alpha is instantaneously able to compute all manner of descriptive and inferential statistical properties and to produce regression analyses and equation fitting. Wolfram|Alpha's broad computational knowledge of statistical methods allows you to analyze, interpret and visualize your data quickly and accurately.

Descriptive Statistics

Compute statistical measures that summarize the properties of a dataset.

Calculate basic descriptive statistics for a dataset:

{25, 35, 10, 17, 29, 14, 21, 31}

Compute a statistical quantity:

mean {21.3, 38.4, 12.7, 41.6}

kurtosis {21.3, 38.4, 12.7, 41.6}

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Regression Analysis

Fit different parameterized models to data.

Use statistics and hypothesis tests to infer information from a dataset.

Find the sample size needed to estimate a binomial parameter:

sample size for binomial parameter

Compute a confidence interval for a population mean:

t-interval xbar=4.15, s=0.32, n=100

Apply a test for a population mean:

z-test for population mean

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Random Variables

Compute the probability of a random variable returning a specified value or falling within a range of values or determine the expected value of a random variable.